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Finding the Fourth Proportional to 132,064.62, 197,866.89 and 110,019.66

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Solution

The fourth proportional to 132,064.62, 197,866.89 and 110,019.66 is: 164,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,064.62 : 197,866.89 = 110,019.66 : x
  2. Step 2: Convert to fraction form
    132,064.62/197,866.89 = 110,019.66/x
  3. Step 3: Cross multiply
    132,064.62x = 197,866.89 × 110,019.66
  4. Step 4: Simplify right side
    132,064.62x = 21,769,247,963.06
  5. Step 5: Solve for x
    x = 21,769,247,963.06/132,064.62
  6. Step 6: Final answer
    x = 164,837.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.